Equivalence between Nyquist and Routh-Hurwitz stability criteria for operational amplifier design

This paper describes the equivalence between Nyquist and Routh-Hurwitz stability criteria for analysis and design of the operational amplifier stability under some conditions. In the theoretical part, respective mathematical foundations of Nyquist and Routh-Hurwitz stability criteria have been deduced, and the equivalency of their mathematical foundations is shown. In the verification part, our statement is confirmed with LTspice simulations at transistor level circuits.